Giuseppe Negro

collaborators

3 papers

math.CA2025

On sharp Fourier extension from spheres in arbitrary dimensions

Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva

We prove a new family of sharp $L^{2} (S^{d - 1}) \to L^{4} (R^{d})$ Fourier extension inequalities from the unit sphere $S^{d - 1} \subset R^{d}$ , valid in arbitra…

math.CA2025

Exponentials rarely maximize Fourier extension inequalities for cones

Giuseppe Negro, Diogo Oliveira e Silva, Betsy Stovall +1

We prove the existence of maximizers and the precompactness of $L^{p}$ -normalized maximizing sequences modulo symmetries for all valid scale-invariant Fourier extension inequalities…

math.CA2024

Stability of sharp Fourier restriction to spheres

Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva

In dimensions $d \in {3, 4, 5, 6, 7}$ , we prove that the constant functions on the unit sphere $S^{d - 1} \subset R^{d}$ maximize the weighted adjoint Fourier restrictio…